Open AccessPROBLEM OF STABILITY OF THE EQUILIBRIUM HELICAL ORBIT IN FREE-ELECTRON LASERS
Author(s) -
Changbiao Wang
Publication year - 1992
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.41.1092
Subject(s) - wiggler , physics , perturbation (astronomy) , stability (learning theory) , classical mechanics , lyapunov function , laser , perturbation theory (quantum mechanics) , electron , quantum mechanics , nonlinear system , computer science , machine learning , cathode ray
The problem of stability of the equilibrium helical orbit in free-electron lasers with a combined ideal helical wiggler and uniform axial guide field is successfully solved by means of the Lyapunov's stability theory of motion. The unstable region is determined with perturbation of initial energy taken into account by Lyipunov's first method. An appropriate Lyapuov's function is constructed; accordingly, the low and high guide field stable regions are shown rigorously.